Graphing in Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept can be found directly from the equation as the value of 'b' when x = 0.

Front

What is the y-intercept of the equation y = -3x + 4?

Back

The y-intercept is 4, which corresponds to the point (0, 4) on the graph.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

How can you determine the slope from two points on a line?

Back

The slope can be determined using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the graphical representation of the equation y = -x + 2?

Back

The graph of y = -x + 2 is a straight line that crosses the y-axis at (0, 2) and has a slope of -1.